259135641 has 48 divisors (see below), whose sum is σ = 416707200. Its totient is φ = 154344960.

The previous prime is 259135633. The next prime is 259135691. The reversal of 259135641 is 146531952.

259135641 is a `hidden beast` number, since 2 + 5 + 9 + 1 + 3 + 5 + 641 = 666.

259135641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 259135641 - 2³ = 259135633 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 259135596 and 259135605.

It is not an unprimeable number, because it can be changed into a prime (259135601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742335 + ... + 742683.

It is an arithmetic number, because the mean of its divisors is an integer number (8681400).

Almost surely, 2^259135641 is an apocalyptic number.

It is an amenable number.

259135641 is a deficient number, since it is larger than the sum of its proper divisors (157571559).

259135641 is a wasteful number, since it uses less digits than its factorization.

259135641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 603 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 259135641 is about 16097.6905486470. The cubic root of 259135641 is about 637.5423658119.

The spelling of 259135641 in words is "two hundred fifty-nine million, one hundred thirty-five thousand, six hundred forty-one".